Scaling law for membrane lifetime
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915284947828736 |
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| author | Fukushima, Osamu Shigemura, Tomohiro Yoshida, Kentaroh |
| author_facet | Fukushima, Osamu Shigemura, Tomohiro Yoshida, Kentaroh |
| contents | Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen as a realization of chaotic scattering. In this note, we compute the lifetime of a membrane in a reduced model. The resulting lifetime exhibits scaling laws with respect to energy, coupling constant and a cut-off scale. We numerically evaluate the scaling exponents, which cannot be fixed by the dimensional analysis. Finally, some applications of the results are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04754 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling law for membrane lifetime Fukushima, Osamu Shigemura, Tomohiro Yoshida, Kentaroh High Energy Physics - Theory Mathematical Physics Chaotic Dynamics Membrane configurations in the Banks-Fischler-Shenker-Susskind matrix model are unstable due to the existence of flat directions in the potential and the decay process can be seen as a realization of chaotic scattering. In this note, we compute the lifetime of a membrane in a reduced model. The resulting lifetime exhibits scaling laws with respect to energy, coupling constant and a cut-off scale. We numerically evaluate the scaling exponents, which cannot be fixed by the dimensional analysis. Finally, some applications of the results are discussed. |
| title | Scaling law for membrane lifetime |
| topic | High Energy Physics - Theory Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2411.04754 |